No, I've never experienced that 'ping' sound or any other odd sounds. I seldom use the 'auto' mode for the climate control, but have used it enough.
Did you leave the car with them or did you get a loaner?It took them almost a month to get the part.
Your new car warranty includes a free loaner car. If they don't offer, ask.Did you leave the car with them or did you get a loaner?